"I just believe in what everyone is trying to do here. The guys, the city....everything about it. I've had a tremendous time here. I think we've got a good group that's building toward our ultimate goal and I want to be a part of it."
The Sabres (24-30-6) enter Wednesday last in the Eastern Conference, 12 points behind the New York Rangers and Detroit Red Wings for the second wild card into the Stanley Cup Playoffs.
Greenway said he strongly believes in what Buffalo can accomplish in the future, despite not having qualified for the postseason since 2011.
"That's probably the million-dollar question," he said. "But it's a mindset. I said from the start of the year ... we have to elevate our expectations and buy into our game plan every single night. There are nights where we do it really well and I truthfully think that we can compete with any team. Sometimes we find a way to stray away from that a little bit and we'll see it on the scoreboard at the end of the game. Finding that consistency is obviously a big focus and something that we'll continue to work toward and get it figured out."
Selected by Minnesota in the second round (No. 50) of the 2015 NHL Draft, Greenway has 159 points (55 goals, 104 assists) in 427 regular-season games for the Sabres and Wild and seven points (three goals, four assists) in 22 playoff games.
NHL.com independent correspondent Corey Long contributed to this report